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Finding the Third Proportional to 507,999,600 and 1,077,040,944

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Solution

The third proportional to 507,999,600 and 1,077,040,944 is: 2,283,500,213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,999,600 : 1,077,040,944 = 1,077,040,944 : x
  2. Step 2: Convert to fraction form
    507,999,600/1,077,040,944 = 1,077,040,944/x
  3. Step 3: Cross multiply
    507,999,600x = 1,077,040,944 × 1,077,040,944
  4. Step 4: Simplify right side
    507,999,600x = 1,160,017,195,052,411,136
  5. Step 5: Solve for x
    x = 1,160,017,195,052,411,136/507,999,600
  6. Step 6: Final answer
    x = 2,283,500,213.49

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.